Not quite intimate (4)
I believe the answer is:
near
I believe this is a double definition.
'not quite' is the first definition.
(thesaurus)
'intimate' is the second definition.
(thesaurus)
(Other definitions for near that I've seen before include "Close in time or place" , "Nigh" , "Tight-fisted" , "Miserly; approach" , "Close; almost" .)